Answer:
-2.28
Step-by-step explanation:
The intrinsic rate of increase is the maximum rate of population growth that can be sustained by a species in the absence of limiting factors, such as competition for resources or predation. The growth rate is the actual rate of population growth that is observed in a population. The carrying capacity is the maximum population size that can be sustained by a given environment.
To calculate the carrying capacity of the butterfly population, we need to use the formula:
K = r / (K - r)
Where K is the carrying capacity, r is the intrinsic rate of increase, and K is the growth rate.
In this case, the intrinsic rate of increase is 0.64 and the growth rate is 0.36. Plugging these values into the formula, we get:
K = 0.64 / (0.36 - 0.64)
K = 0.64 / (-0.28)
K = -2.28